Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

The solvability theory of an important self-adjoint polynomial matrix equation is presented, including the boundary of its Hermitian positive definite (HPD) solution and some sufficient conditions under which the (unique or maximal) HPD solution exists. The algebraic perturbation analysis is also gi...

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Bibliographic Details
Main Authors: Zhigang Jia, Meixiang Zhao, Minghui Wang, Sitao Ling
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/681605

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